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dlinn [17]
2 years ago
8

A device contains two circuits. The second circuit is a backup for the first, so the second is used only when the first has fail

ed. The device fails when and only when the second circuit fails. Let X and Y be the times (in years) at which the first and second circuits fail, respectively. Their joint probability density function (pdf) is 6e-xe-20 for 0 < x < y 〈 oo; otherwise (a) Find the pdf of X. Identify the distribution of X (b) Find the pdf of Y (c) What is the expected time at which the device fails?

Mathematics
1 answer:
Wittaler [7]2 years ago
5 0

Answer:

Step-by-step explanation:

The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.

The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.

The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.

Please check the screenshop for the workings. Thanks

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Jason’s savings account has a balance of $2179. After 5 years , what will the amount of interest be at 6% compounded quarterly?
satela [25.4K]

Answer:

$755.80

Step-by-step explanation:

Determine the compound amount first and then subtract the principal from it, to find the amount of interest.

The compound amount formula is A = P (1 + r/n)^(nt), where

P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.  Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).

We get:

A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.

The compound amount is $2934.80.  Subtracting the $2179 principal results in the interest earned:  $755.80.

5 0
3 years ago
What is 4,952 rounded to the nearest hundred
In-s [12.5K]

Answer:

5,000

Step-by-step explanation:

5 0
3 years ago
Encontrar la ecuacion paralela a y= -1/2x + 1, que pasa por el punto (2, -2). Graficar. Me ayudan con esto, POR FAVOR ❤️
Ymorist [56]
Hola! Este línea hace no intersecarese con el par do puntos dada. ¿Ver?
¡Lo Siento! Dejar yo sabo si yo lata ayuda además.

7 0
3 years ago
Al sumar un número entero con el doble de su sucesor, se obtiene un total de 44. ¿De qué número se está hablando?
Vlad [161]
Basado en lo que nos dieron en la pregunta podemos decir que:
1) x sea un numero entero 
2)x+1 sea el numero sucesor del anterior
3) los dos seran sumados y el total de la suma es 44
4) el numero sucesor es multiplicado por dos antes de ser sumado con el numero entero


Entonces tenemos:
x+2(x+1)=44 \\ x+2x+2=44 \\ 3x=42 \\ x=14

En este caso el numero del cual se esta hablando es 14 para comprobar

14+2(14+1)=44 \\ 14+2(15)=44 \\ 44=44
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3 years ago
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vampirchik [111]

Answer:

The surface of the triangular prism is 12 ft

Step-by-step explanation:

To find the surface area you have to multiply the base and the height and divide the product by 2

6 ft= base

4 ft= height

6 x 4 = 24

24 divided by 2 = 12

6 0
3 years ago
Read 2 more answers
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